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Finding the Third Proportional to 124.73 and 192.30

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Solution

The third proportional to 124.73 and 192.30 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.73 : 192.30 = 192.30 : x
  2. Step 2: Convert to fraction form
    124.73/192.30 = 192.30/x
  3. Step 3: Cross multiply
    124.73x = 192.30 × 192.30
  4. Step 4: Simplify right side
    124.73x = 36,981.09
  5. Step 5: Solve for x
    x = 36,981.09/124.73
  6. Step 6: Final answer
    x = 296.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.